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The pair, who met at Coachella music festival in April 2007, have been dating for over four years. They were notoriously secretive about their relationship and rarely seen out together, however rumours have been circulating over recent months that there was trouble in paradise.

It is thought that the split has come about due to the couple's increasingly busy schedules. While Alexa, 27, has recently been invited by American film mogul Harvey Weinstein to present a new fashion TV show called 24-Hour Catwalk, the Arctic Monkeys are embarking on their world tour until January. Rumour has it that Alexa has already moved out of the apartment that couple shared in Williamsburg and has bought her own home elsewhere in New York.